Open Access
July 2010 Maximal analytic extensions of the Emparan-Reall black ring
Piotr T. Chruściel, Julien Cortier
J. Differential Geom. 85(3): 425-460 (July 2010). DOI: 10.4310/jdg/1292940690


We construct a Kruskal-Szekeres-type analytic extension of the Emparan-Reall black ring, and investigate its geometry. We prove that the extension is maximal, globally hyperbolic, and unique within a natural class of extensions. The key to those results is the proof that causal geodesics are either complete, or approach a singular boundary in finite affine time. Alternative maximal analytic extensions are also constructed.


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Piotr T. Chruściel. Julien Cortier. "Maximal analytic extensions of the Emparan-Reall black ring." J. Differential Geom. 85 (3) 425 - 460, July 2010.


Published: July 2010
First available in Project Euclid: 21 December 2010

zbMATH: 1209.53058
MathSciNet: MR2739809
Digital Object Identifier: 10.4310/jdg/1292940690

Rights: Copyright © 2010 Lehigh University

Vol.85 • No. 3 • July 2010
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